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Finding the Third Proportional to 385,737,606 and 582,193,632

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Solution

The third proportional to 385,737,606 and 582,193,632 is: 878,704,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,737,606 : 582,193,632 = 582,193,632 : x
  2. Step 2: Convert to fraction form
    385,737,606/582,193,632 = 582,193,632/x
  3. Step 3: Cross multiply
    385,737,606x = 582,193,632 × 582,193,632
  4. Step 4: Simplify right side
    385,737,606x = 338,949,425,141,351,424
  5. Step 5: Solve for x
    x = 338,949,425,141,351,424/385,737,606
  6. Step 6: Final answer
    x = 878,704,642.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.